Right. Depending on the type of balloon, there also may be PE due to the stretching of the balloon that can be harnessed by releasing the gas, PE that may be harnessed by burning the balloon if it is flammable, and others.
If what we are talking about is the PE that can be harnessed by the pull of the balloon as it rises or falls, then a positively buoyant balloon loses PE as it rises.
Coz that's what Spork says. Qualified people say otherwise.
Question: How can the sum of potential energy and kinetic energy
be constant when a helium balloon moves up in air as both potential
energy and kinetic energy increases?
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The potential energy is going _down_ as the balloon rises. (2) This is
counter-intuitive because the standard way of describing potential energy
is based on the assumption that gravity is much greater than the buoyancy
(buoyancy is ignored). But that is not a good assumption with the helium
balloon.
Potential energy is actually stored in the submerged (in air)
helium balloon -- to help visualize, think of how much work it takes to
submerge a basketball under water. With the basketball, you are pushing
water up (it is displaced by the ball) against gravity, storing potential
energy. It works the same way with the balloon submerged in air. Filling
the balloon displaces air, thereby storing potential energy in the
balloon. When you release the balloon, that potential energy is converted
to kinetic energy (there are other factors as well -- it expands as it
rises, for example, but I will neglect those for purposes of this answer).
Hope this helps,
Burr Zimmerman
That is, the heavier air loses potential energy as it ascends, and transfers it to the balloon, so it gains KE as it rises. When it stops, or becomes NB, all of that is PE.
When the balloon is NB, the heavier air will not accelerate it (because it will not ascend, because the force of gravity is the same on the balloon as the air),
so not add KE, and the work must come from what ever raises it to height. The balloon gains PE by the work. Hence the floors of the building.
Or with the analogy with a rock. The rock has PE, which becomes KE as it falls, the buoyant balloon has KE, which becomes PE as it rises.
When NB, that exchange does not take place, and the balloon is like an imaginary sphere of air, so gains PE with height or the air could not lose PE as it decends, as the
text says it does.
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The potential energy of the helium balloon increases as it ascends, (1)
but as it ascends it allows heavier air to descend to take its
place. The air's potential energy thus decreases. The decrease in
the air's potential energy is of greater magnitude than the increase
in the helium balloon's potential energy, so overall potential
energy decreases.